Greatest Common Factor of 278/46, 305/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 278/46, 305/244

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 278/46,305/244

Given fractions are 278/46,305/244

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 278,305

Greatest Common Factor of Numerators i.e. GCF of 278,305 is 1 .

LCM of Denominators means LCM of 46,244 as per the given fractions.

LCM of 46,244 is 5612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 278,305

GCF of Fractions 278/46,305/244 is 1/5612

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 278,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,305 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 278,305 . The biggest common factor number is the GCF number.
So the greatest common factor 278,305 is 1.

Lets's calculate LCM of 46,244

2 46, 244
23, 122

∴ So the LCM of the given numbers is 2 x 23 x 122 = 5612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5612

Therefore, the GCF of Fractions 278/46,305/244 is 1/5612

Least Common Multiple of 46,244 with GCF Formula

Least Common Multiple of 46,244 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 46,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,244) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(46,244) x common factors =2 x 1 = 2

LCM(46,244) = ( 46 × 244 ) / 2

LCM(46,244) = 11224 / 2

LCM(46,244) = 5612


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 278/46, 305/244

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 278/46, 305/244?

Answer: GCF of Numerators as per given numbers 278/46, 305/244 is

GCF of Numerators i.e. for 278,305 is 1

LCM of denominators i.e. for 46,244 is 5612.

Thus, GCF of Fractions is 1/5612.Finally, GCF of Fractions for 278/46, 305/244 is 1/5612.